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Simplifying 3(-4p + 6) = 2(-5 + -7) * p Reorder the terms: 3(6 + -4p) = 2(-5 + -7) * p (6 * 3 + -4p * 3) = 2(-5 + -7) * p (18 + -12p) = 2(-5 + -7) * p Combine like terms: -5 + -7 = -12 18 + -12p = 2(-12) * p Multiply 2 * -12 18 + -12p = -24p Solving 18 + -12p = -24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24p' to each side of the equation. 18 + -12p + 24p = -24p + 24p Combine like terms: -12p + 24p = 12p 18 + 12p = -24p + 24p Combine like terms: -24p + 24p = 0 18 + 12p = 0 Add '-18' to each side of the equation. 18 + -18 + 12p = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 12p = 0 + -18 12p = 0 + -18 Combine like terms: 0 + -18 = -18 12p = -18 Divide each side by '12'. p = -1.5 Simplifying p = -1.5
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